Fundamental Concepts in Experiment Design (Statistics)

This book covers several core concepts in the design of experiments and their statistical analysis. Emphasis is placed on Gaussian-distributed analysis methods, like ANOVA and Linear Modeling. The first fifteen pages introduce the theory of design, and the remaining 150 pages covers several worked examples.
Table of Contents
Experiment OverviewDesign Phase

Factors
Mathematical FlavorFixed vs. Random EffectCrossed vs. Nested CategoricalExperiment vs. GroupingInterventional vs. ObservationalRepeated MeasuresUnits
• Constructed vs. Pre-ExistingMeasurements
• DistributionReplicatesModel Equation

Experiment Phase

• Randomization LocationRandomization TypeHidden FactorsRandomization Rules of ThumbAnalysis PhaseExample Experiments
• Designs with One Experiment Factor
  Two-Group ComparisonThree-Group ComparisonLinear RegressionDesigns with One Experiment Factor and One Grouping Factor
  • Two-Group Comparison inside BlocksTwo-Group Comparison inside Blocks, but Block levels are Random EffectsTwo-Group Comparison inside Units, i.e. a Repeated Measures designLinear Regression inside BlocksDesigns with Two Experiment Factors
  • Crossed Categorical FactorsNested Categorical FactorDesigns with Two Experiment Factors and One Grouping Factor
  • 2 Crossed Factors inside BlocksSplit Description, Type A2 Factor Fully Repeated Measures2 Factor Partially Repeated Measures

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